Analytical expressions for vibrational matrix elements of Morse oscillators

Journal Article · Sat Oct 15 00:00:00 EDT 1988 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.38.4205· OSTI ID:6904941

Zuniga, J; Hidalgo, A; Frances, J M; Requena, A; Lopez Pineiro, A; Olivares del Valle, F J

Several exact recursion relations connecting different Morse oscillator matrix elements associated with the operators q/sup ..cap alpha../e/sup -//sup ..beta..//sup aq/ and q/sup ..cap alpha../e/sup -//sup ..beta..//sup aq/(d/dr) are derived. Matrix elements of the other useful operators may then be obtained easily. In particular, analytical expressions for (y/sup k/d/dr) and (y/sup k/d/dr+(d/dr)y/sup k/), matrix elements of interest in the study of the internuclear motion in polyatomic molecules, are obtained.

• Research Organization: Departamento de Quimica Fisica, Facultad de Ciencias, Universidad de Murcia, Murcia, Spain
• OSTI ID: 6904941
• Journal Information: Phys. Rev. A; (United States), Vol. 38:8
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
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INTERATOMIC FORCES
OSCILLATORS
SIMULATION
MORSE POTENTIAL
QUANTUM OPERATORS
MATRIX ELEMENTS
MOTION
RECURSION RELATIONS
TWO-BODY PROBLEM
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